\begin{propriete}[Primitives des fonctions usuelles]
\begin{ltableau}{\linewidth}{3}
 \hline
 \centering Fonction $f$ définie par &
 \centering Une primitive $F$ définie par& 
 \centering Domaine de validité\tabularnewline
 \hline
 	\centering $f(x) = k,\ k \in \mathbb{R}$ &
 	\centering $F(x) = kx$ &
 	\centering $\mathbb{R}$\tabularnewline
 \hline
 	\centering $f(x) = x^n, n \in  \mathbb{N}$ &
 	\Strut[1.5]\BotStrut[2.1] \centering $F(x) = \dfrac{1}{n+1}x^{n+1}$ &
 	\centering $\mathbb{R}$\tabularnewline
 \hline
 	\Strut[1.5]\BotStrut[2] \centering $f(x) = \dfrac{1}{x^n}, n \in \mathbb{N}, n \geqslant 2$ &
 	\centering $F(x) = -\,\dfrac{1}{n-1}\dfrac{1}{x^{n-1}}$ &
 	\centering $]-\infty\,;0[$ ou $]0\,; +\infty[$\tabularnewline
 \hline
 	\Strut[1.5]\BotStrut[2.5] \centering $f(x) = \dfrac{1}{x}$ &
 	\centering $F(x) = \ln(x)$ &
 	\centering $]0\,; +\infty[$\tabularnewline
 \hline
 	\Strut[1.5]\BotStrut[2.5] \centering $f(x)=\dfrac{1}{\sqrt{x}}$ &
 	\centering $F(x) = 2\sqrt{x}$ &
 	\centering $]0\,; +\infty[$\tabularnewline
 \hline
 	\centering $f(x) = \text{e}^{x}$ &
 	\centering $F(x) = \text{e}^{x}$ &
 	\centering $\mathbb{R}$\tabularnewline
 \hline
 	\centering $f(x) = \cos (x)$ &
 	\centering $F(x) = \sin(x)$ &
 	\centering $\mathbb{R}$\tabularnewline
 \hline
 	\centering $f(x) = \sin (x)$ &
 	\centering $F(x) = - \cos(x)$ &
 	\centering $\mathbb{R}$\tabularnewline
 \hline
\end{ltableau}
\end{propriete}

